101000010010049 has 2 divisors, whose sum is σ = 101000010010050. Its totient is φ = 101000010010048.

The previous prime is 101000010009991. The next prime is 101000010010069. The reversal of 101000010010049 is 940010010000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97136300850625 + 3863709159424 = 9855775^2 + 1965632^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000010010049 - 2¹² = 101000010005953 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000010010069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005005024 + 50500005005025.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005005025).

Almost surely, 2^{101000010010049} is an apocalyptic number.

It is an amenable number.

101000010010049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000010010049 is an equidigital number, since it uses as much as digits as its factorization.

101000010010049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101000010010049 in words is "one hundred one trillion, ten million, ten thousand, forty-nine".